A transverse wave on a string is described by y = 0.03 sin(4πt-πx), where x and y are in metres and t in seconds. Which option correctly gives its amplitude, frequency, wavelength and direction of propagation?
Options

Question

A transverse wave on a string is described by y = 0.03 sin(4πt-πx), where x and y are in metres and t in seconds. Which option correctly gives its amplitude, frequency, wavelength and direction of propagation?

Options

G1 Physics · Accepted Answer

The amplitude is A = 0.03 m = 3 cm. The angular frequency is ω = 4π rad/s. Hence, f = ω/(2π) = 2 Hz. The wave number is k = π rad/m. Thus, λ = 2π/k = 2 m. The equation sin(4πt−πx) is equivalent to a constant phase condition πx−4πt = constant, which moves towards +x. Therefore the correct set is A = 3 cm, f = 2 Hz, λ = 2 m, direction = +x. Correct option: A.

A transverse wave on a string is described by y = 0.03 sin(4πt−πx), where x and y are in metres and t in seconds. Which option correctly gives its amplitude, frequency, wavelength and direction of propagation?